The cost function of a firm $C (x) = 2 x^{2} - 4 x + 5$ . Find the marginal cost when $x = 2$ .

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Solution

The correct option is C 4
$\Rightarrow$ We have, $C (x) = 2 x^{2} - 4 x + 5$ .

$\Rightarrow$ Marginal cost = $\frac{d}{d x} C (x)$ .

$\Rightarrow$ Marginal cost = $\frac{d}{d x} (2 x^{2} - 4 x + 5)$

$\Rightarrow$ Marginal cost = $4 x - 4$
$\Rightarrow$ Substitute value of $x = 2$ .
$\Rightarrow$ Marginal cost = $4 \times 2 - 4 = 8 - 4 = 4$
$∴$ $M a r g i n a l c o s t = 4.$

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